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1105629001 = 4128112
BaseRepresentation
bin100000111100110…
…1000111101001001
32212001102202212021
41001321220331021
54231020112001
6301413244441
736253456111
oct10171507511
92761382767
101105629001
1151810a484
1226a333721
131480a1b59
14a6ba6041
15670e8ba1
hex41e68f49

1105629001 has 9 divisors (see below), whose sum is σ = 1134652359. Its totient is φ = 1077332400.

The previous prime is 1105628977. The next prime is 1105629047. The reversal of 1105629001 is 1009265011.

The square root of 1105629001 is 33251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53275401 + 1052353600 = 7299^2 + 32440^2 .

It is not a de Polignac number, because 1105629001 - 211 = 1105626953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105629061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1362886 + ... + 1363696.

Almost surely, 21105629001 is an apocalyptic number.

1105629001 is the 33251-st square number.

1105629001 is the 16626-th centered octagonal number.

It is an amenable number.

1105629001 is a deficient number, since it is larger than the sum of its proper divisors (29023358).

1105629001 is an frugal number, since it uses more digits than its factorization.

1105629001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The cubic root of 1105629001 is about 1034.0379403737.

Multiplying 1105629001 by its sum of digits (25), we get a square (27640725025 = 1662552).

The spelling of 1105629001 in words is "one billion, one hundred five million, six hundred twenty-nine thousand, one".

Divisors: 1 41 811 1681 33251 657721 1363291 26966561 1105629001